






"""simple docstring"""





from __future__ import annotations

from typing import TypedDict






class 	a		(   __snake_case						):
    SCREAMING_SNAKE_CASE		:	str
    SCREAMING_SNAKE_CASE		:	int







def 	lowerCamelCase__			(				_lowerCamelCase			:						str					) ->							list[str]:
  if not isinstance(_lowerCamelCase						,							_lowerCamelCase					):
    raise TypeError('The parameter s type must be str.'					)

  return [s[i:] + s[:i] for i in range(len(_lowerCamelCase					)					)]







def 	lowerCamelCase__			(				_lowerCamelCase			:						str					) ->							BWTTransformDict:
  if not isinstance(_lowerCamelCase						,							_lowerCamelCase					):
    raise TypeError('The parameter s type must be str.'					)
  if not s:
    raise ValueError('The parameter s must not be empty.'					)

  lowerCamelCase_       	=		all_rotations(_lowerCamelCase					)
  rotations.sort()  # sort the list of rotations in alphabetically order
  # make a string composed of the last char of each rotation
  lowerCamelCase_       	=		{
      "bwt_string": "".join([word[-1] for word in rotations]					),
      "idx_original_string": rotations.index(_lowerCamelCase					),
  }
  return response







def 	lowerCamelCase__			(				_lowerCamelCase			:						str						,							_lowerCamelCase			:						int					) ->							str:
  if not isinstance(_lowerCamelCase						,							_lowerCamelCase					):
    raise TypeError('The parameter bwt_string type must be str.'					)
  if not bwt_string:
    raise ValueError('The parameter bwt_string must not be empty.'					)
  try:
    lowerCamelCase_       	=		int(_lowerCamelCase					)
  except ValueError:
    raise TypeError(
        'The parameter idx_original_string type must be int or passive'
        ' of cast to int.'					)
  if idx_original_string < 0:
    raise ValueError('The parameter idx_original_string must not be lower than 0.'					)
  if idx_original_string >= len(_lowerCamelCase					):
    raise ValueError(
        'The parameter idx_original_string must be lower than' ' len(bwt_string).'					)

  lowerCamelCase_       	=		[''] * len(_lowerCamelCase					)
  for _ in range(len(_lowerCamelCase					)					):
    for i in range(len(_lowerCamelCase					)					):
      lowerCamelCase_       	=		bwt_string[i] + ordered_rotations[i]
    ordered_rotations.sort()
  return ordered_rotations[idx_original_string]


if __name__ == "__main__":
  _SCREAMING_SNAKE_CASE   :							Dict          =		'''Provide a string that I will generate its BWT transform: '''
  _SCREAMING_SNAKE_CASE   :							List[str]          =		input(entry_msg).strip()
  _SCREAMING_SNAKE_CASE   :							Optional[Any]          =		bwt_transform(s)
  print(
      F'''Burrows Wheeler transform for string \'{s}\' results '''
      F'''in \'{result['bwt_string']}\''''
  )
  _SCREAMING_SNAKE_CASE   :							int          =		reverse_bwt(result['''bwt_string'''], result['''idx_original_string'''])
  print(
      F'''Reversing Burrows Wheeler transform for entry \'{result['bwt_string']}\' '''
      F'''we get original string \'{original_string}\''''
  )












"""simple docstring"""





_SCREAMING_SNAKE_CASE   :							Optional[int]          =		8.314_4598







def 	lowerCamelCase__			(				_lowerCamelCase			:						float						,							_lowerCamelCase			:						float					) ->							float:
  if temperature < 0:
    raise Exception('Temperature cannot be less than 0 K'					)
  if molar_mass <= 0:
    raise Exception('Molar mass cannot be less than or equal to 0 kg/mol'					)
  else:
    return (3 * UNIVERSAL_GAS_CONSTANT * temperature / molar_mass) ** 0.5


if __name__ == "__main__":
  import doctest

  # run doctest
  doctest.testmod()

  # example
  _SCREAMING_SNAKE_CASE   :							List[Any]          =		300
  _SCREAMING_SNAKE_CASE   :							Dict          =		28
  _SCREAMING_SNAKE_CASE   :							List[str]          =		rms_speed_of_molecule(temperature, molar_mass)
  print(F'''Vrms of Nitrogen gas at 300 K is {vrms} m/s''')




